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Finding the Fourth Proportional to 4,341.72, 6,511.86 and 1,263

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Solution

The fourth proportional to 4,341.72, 6,511.86 and 1,263 is: 1,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.72 : 6,511.86 = 1,263 : x
  2. Step 2: Convert to fraction form
    4,341.72/6,511.86 = 1,263/x
  3. Step 3: Cross multiply
    4,341.72x = 6,511.86 × 1,263
  4. Step 4: Simplify right side
    4,341.72x = 8,224,479.18
  5. Step 5: Solve for x
    x = 8,224,479.18/4,341.72
  6. Step 6: Final answer
    x = 1,894.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.